Finding Displacement: Sketch & Solve w/ Cosine Law

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SUMMARY

The discussion focuses on solving a displacement problem involving a man walking 120 meters in the direction S 23 E and then 60 meters in the direction S 10 N. The relevant mathematical tool used is the Cosine Law to calculate the resultant displacement. The solution provided was verified by another participant, confirming its accuracy despite initial concerns about the transcription of the problem. The key takeaway is the effective application of the Cosine Law in vector displacement scenarios.

PREREQUISITES
  • Understanding of vector representation in physics
  • Familiarity with the Cosine Law
  • Basic skills in sketching vector diagrams
  • Knowledge of trigonometric functions
NEXT STEPS
  • Study the application of the Cosine Law in various displacement problems
  • Learn how to accurately sketch vector diagrams for complex movements
  • Explore trigonometric identities and their applications in physics
  • Practice solving displacement problems involving multiple vectors
USEFUL FOR

Students studying physics, particularly those focusing on vector analysis and displacement calculations, as well as educators looking for practical examples of the Cosine Law in action.

Jeremy Mercier
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Homework Statement


A man walks 120m [S 23 E] Then turns and walks 60m [S 10 N] draw a careful sketch of this situation and then solve for the displacement, you do not have to solve for the direction

2. Relevant equation:
Cosine law

The Attempt at a Solution


Solution attempt is attached as a photo, I think I might have done it right but I would like someone to check it over
 

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Jeremy Mercier said:

Homework Statement


A man walks 120m [S 23 E] Then turns and walks 60m [S 10 N] solve for the displacement
You have transcribed the problem poorly. However, the result looks good to me.
 

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